中华口腔正畸学杂志
中華口腔正畸學雜誌
중화구강정기학잡지
CHINESE JOURNAL OF ORTHODONTICS
2015年
2期
78-82
,共5页
Spee氏曲线%最小二乘法%曲线拟合
Spee氏麯線%最小二乘法%麯線擬閤
Spee씨곡선%최소이승법%곡선의합
Curve of Spee%Least square method%curve fitting
目的 探讨在头颅侧位片上测量牙弓Spee曲度的方法并探究整平Spee氏曲线与所需间隙量的关系.方法 纳入108例错(牙合)畸形患者,收集治疗前、后头颅侧位片,使用液晶数位描图板描绘Spee氏曲线,并在MATLAB7.0中提取出,基于最小二乘法进行曲线拟合、计算.结果 Spee氏曲线拟合数学模型圆的方差最小;同一操作者的自身重复性好,不同操作者间的一致性高;与模型测量法结果未见统计学差异;预测整平本研究样本全牙列和后牙段Spee氏曲线单侧所需平均间隙量分别为:1.1±0.02mm;0.87±0.08 mm.结论 1.在头颅侧位片上可以使用圆作为数学模型,采用最小二乘法曲线拟合的方法测量Spee氏曲线.2.本研究的方法可以推算整平Spee氏曲线所需的间隙量.
目的 探討在頭顱側位片上測量牙弓Spee麯度的方法併探究整平Spee氏麯線與所需間隙量的關繫.方法 納入108例錯(牙閤)畸形患者,收集治療前、後頭顱側位片,使用液晶數位描圖闆描繪Spee氏麯線,併在MATLAB7.0中提取齣,基于最小二乘法進行麯線擬閤、計算.結果 Spee氏麯線擬閤數學模型圓的方差最小;同一操作者的自身重複性好,不同操作者間的一緻性高;與模型測量法結果未見統計學差異;預測整平本研究樣本全牙列和後牙段Spee氏麯線單側所需平均間隙量分彆為:1.1±0.02mm;0.87±0.08 mm.結論 1.在頭顱側位片上可以使用圓作為數學模型,採用最小二乘法麯線擬閤的方法測量Spee氏麯線.2.本研究的方法可以推算整平Spee氏麯線所需的間隙量.
목적 탐토재두로측위편상측량아궁Spee곡도적방법병탐구정평Spee씨곡선여소수간극량적관계.방법 납입108례착(아합)기형환자,수집치료전、후두로측위편,사용액정수위묘도판묘회Spee씨곡선,병재MATLAB7.0중제취출,기우최소이승법진행곡선의합、계산.결과 Spee씨곡선의합수학모형원적방차최소;동일조작자적자신중복성호,불동조작자간적일치성고;여모형측량법결과미견통계학차이;예측정평본연구양본전아렬화후아단Spee씨곡선단측소수평균간극량분별위:1.1±0.02mm;0.87±0.08 mm.결론 1.재두로측위편상가이사용원작위수학모형,채용최소이승법곡선의합적방법측량Spee씨곡선.2.본연구적방법가이추산정평Spee씨곡선소수적간극량.
Objective The purpose of this study was to put forward a measurement method of Spee's curve on cepholometric radiographs,and measure Spee's curve radius and depth to predict spaces needed for leveling the curve of Spee.Methods 108 orthodontic patients were enrolled in this study.Initial and final cepholometric radiographs were collected.The curve of Spee were painted in image rendering software Adobe Photoshop CS5 (Adobe Systems,Inc,USA) by using Hanwang LCD digital tracing board (HanWan Technology Co,China).In MATLAB7.0 (MathWorks,USA),the mapped curve of Spee were extracted based on the least square curve fitting methodThe best mathematical model of Spee's curve was validated.On the basis of this research,we measured the curve of Spee's radius and depth.Results (1) When fitting Spee's curve on cepholometric radiographs through the least square method,circle was the best mathematical model with minimum variance;(2) The same operator had good repeatability and different operators had high consistency in using the Spee's curve measurement method;(3)According to this method,the average spaces needed for leveling full denture Spee's curve on one side was 1.1 ± 0.02 mm,while posterior teeth Spee's curve on one side required an average of 0.87±0.08 mm.Conclusions Circle could be used as best mathematical model when fitting Spee's curve on cepholometric radiographs through the least square method.The method in this study could be used to calculate the spaces needed when leveling the curve of Spee.
